Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic281 |
| Sylow | C281 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
1988 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49097147, D16×Dic281, SD32×Dic281, … |
| maximal normal subgroup of | #49097147, D16×Dic281, SD32×Dic281, … |
| maximal quotient of | D8×#14555886, #49094133, #49094188, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 632);